Hyperbolic Geometry Courses and Certifications

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Exotic Negatively Curved Manifolds - Mini-course 3

Delve into advanced concepts of exotic negatively curved manifolds and hyperbolic geometry through expert insights from Brown University's mathematical research and developments.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Building Hyperbolic Manifolds with Coxeter Polytopes - Mini-course 3

Delve into advanced hyperbolic geometry concepts through an exploration of building hyperbolic manifolds with Coxeter polytopes, presented by Oxford mathematician Giovanni Italiano.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Building Hyperbolic Manifolds with Coxeter Polytopes - Mini-course 3

Delve into advanced concepts of building hyperbolic manifolds using Coxeter polytopes through expert guidance on geometric construction methods and theoretical foundations.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Totally Geodesic Submanifolds - Mini-course 2

Delve into advanced concepts of arithmetic hyperbolic manifolds and their totally geodesic submanifolds through expert insights from Temple University's Matthew Stover.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Exotic Negatively Curved Manifolds - Mini-course 2

Delve into advanced concepts of exotic negatively curved manifolds and hyperbolic geometry through expert insights on recent developments in geometric topology and group theory.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Thermodynamical Formalism and Geometric Applications - 2/3

Explore thermodynamical formalism through Gibbs measures for hyperbolic surface geodesic flows and their applications to geometric problems like entropy regularity.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Thermodynamical Formalism and Geometric Applications - 1/3

Discover thermodynamical formalism through Gibbs measures for geodesic flows on hyperbolic surfaces, exploring their ergodic properties and geometric applications.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Poisson-Voronoi Tessellations and Fixed Price in Higher Rank - 1/5

Explore Poisson point processes and Poisson-Voronoi tessellations on symmetric spaces, connecting geometric properties to fundamental group generators in higher rank Lie groups.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Thermodynamical Formalism and Geometric Applications - 3/3

Explore thermodynamical formalism and Gibbs measures for hyperbolic surface geodesic flows, with applications to entropy regularity and horocyclic flow analysis.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

INI Seminar Room 2

Hyperbolic and Elliptic Commensurations

Explore hyperbolic and elliptic commensurations in this advanced mathematical seminar by Prof. Mahan Mj from the Tata Institute of Fundamental Research.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

University of Chicago Department of Mathematics

Limit Measures for Topologically and Geometrically Random Surfaces

Explore limit measures for topologically and geometrically random surfaces in hyperbolic 3-manifolds, examining how surface sequences with vanishing curvatures induce probability measures.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Simons Foundation

A Traveler's Journey in a Hyperbolic World

Explore geometric worlds through a traveler's journey, from Euclidean torus to hyperbolic manifolds, discovering how paths behave in curved spaces with visual illustrations.

• YouTube
• 54 minutes
• On-Demand
• Free Video

BIMSA

Recent Developments on Weil-Petersson Random Hyperbolic Surfaces

Explore recent advances in Weil-Petersson random hyperbolic surfaces and their mathematical properties in this specialized geometry lecture.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Strong Spectral Gap for Geometrically Finite Hyperbolic Manifolds

Discover new results establishing strong spectral gap for geometrically finite hyperbolic manifolds with critical exponent greater than (n−1)/2, settling a 2015 conjecture.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups

Delve into advanced hyperbolic geometry concepts with Jessica Purcell, exploring drilling and filling techniques for tame hyperbolic 3-manifolds and their fundamental properties in this mathematical lecture.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video